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4274337392640 = 21134572251419
BaseRepresentation
bin111110001100110010010…
…111001010100000000000
3120010121210220220012110000
4332030302113022200000
51030012320333031030
613031334204240000
7620545031241300
oct76146227124000
916117726805400
104274337392640
1113a8811032157
1259048ab40000
132500b7044573
1410ac440d5600
15762ba70d860
hex3e3325ca800

4274337392640 has 1440 divisors, whose sum is σ = 17935571253600. Its totient is φ = 970776576000.

The previous prime is 4274337392639. The next prime is 4274337392683. The reversal of 4274337392640 is 462937334724.

4274337392640 is a `hidden beast` number, since 4 + 2 + 7 + 4 + 3 + 373 + 9 + 264 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×42743373926402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 10201282351 + ... + 10201282769.

It is an arithmetic number, because the mean of its divisors is an integer number (12455257815).

Almost surely, 24274337392640 is an apocalyptic number.

4274337392640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4274337392640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8967785626800).

4274337392640 is an abundant number, since it is smaller than the sum of its proper divisors (13661233860960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4274337392640 is a wasteful number, since it uses less digits than its factorization.

4274337392640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 54.

The spelling of 4274337392640 in words is "four trillion, two hundred seventy-four billion, three hundred thirty-seven million, three hundred ninety-two thousand, six hundred forty".